The lowest common multiple (LCM) of two whole numbers is the smallest whole number that is a multiple of both. The LCM of 3 and 8 is 24.
When two whole numbers have common factors, their LCM will be less than their product. For example, the LCM of 6 and 8 is 24, but 6 times 8 is 48. The common factors of 6 and 8 are 1, 2, 3, and 6, so their LCM is the smallest number that is a multiple of all of these, which is 24.
The LCM is also sometimes called the least common denominator (LCD).
Intriguing read: What Is the Lcm of 6 and 9?
What is the greatest common divisor of 3 and 8?
The greatest common divisor of 3 and 8 is 1.
What is the highest common factor of 3 and 8?
The highest common factor of 3 and 8 is 1.
What is the smallest number that is a multiple of both 3 and 8?
The smallest number that is a multiple of both 3 and 8 is 24. This is because 24 is the smallest number that can be evenly divided by both 3 and 8. 3 and 8 are both factors of 24, so 24 is a multiple of both 3 and 8.
What is the largest number that is a multiple of both 3 and 8?
The largest number that is a multiple of both 3 and 8 is 24. Both 3 and 8 are factors of 24, so 24 is the largest number that is a multiple of both 3 and 8. 24 is also a multiple of 6, 12, and 18, so it is the largest number that is a multiple of all of those numbers as well.
What is the smallest positive integer that is divisible by both 3 and 8?
The smallest positive integer that is divisible by both 3 and 8 is 24. 3 and 8 are both divisible by 24, so any number that is divisible by both 3 and 8 must also be divisible by 24. 24 is the smallest number with this property, so it is the smallest positive integer that is divisible by both 3 and 8.
What is the largest positive integer that is divisible by both 3 and 8?
The largest positive integer that is divisible by both 3 and 8 is 24. This is because 24 is the smallest number that is divisible by both 3 and 8. 3 and 8 are both divisible by 3, so 24 is divisible by 3. 8 is also divisible by 8, so 24 is divisible by 8.
What is the least common multiple of 3 and 8?
The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. So, the LCM of 3 and 8 is the smallest number that is a multiple of both 3 and 8.
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204, 207, 210, 213, 216, 219, 222, 225, 228, 231, 234, 237, 240, 243, 246, 249, 252, 255, 258, 261, 264, 267, 270, 273, 276, 279, 282, 285, 288, 291, 294, 297, 300, 303, 306, 309, 312, 315, 318, 321, 324, 327, 330, 333, 336, 339, 342, 345, 348, 351, 354, 357, 360, 363, 366, 369, 372, 375, 378, 381, 384, 387, 390,393, 396, 399, 402, 405, 408, 411, 414, 417, 420, 423, 426, 429, 432, 435, 438, 441, 444, 447, 450, 453, 456, 459, 462, 465, 468, 471, 474, 477, 480, 483, 486, 489,492, 495, 498. Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352
Curious to learn more? Check out: 6 Multiples
What is the greatest common factor of 3 and 8?
There are a few different ways to find the greatest common factor of 3 and 8. One way to do it is to break each number down into its prime factors, and then find the common factors between the two numbers. In this case, the prime factors of 3 are 3 and 1, and the prime factors of 8 are 2, 2, and 2. The common factors between the two numbers are 1 and 2, so the greatest common factor of 3 and 8 is 2.
Another way to find the greatest common factor of 3 and 8 is to use the greatest common divisor (GCD) algorithm. This algorithm is a bit more complicated, but it is guaranteed to find the greatest common factor of two numbers. To use the GCD algorithm, you start by writing down the two numbers. Then, you divide the larger number by the smaller number and write down the result. Next, you take the smaller number and divide it by the result of the previous division. You continue doing this until you get a result of 1. The last number you wrote down before you got a result of 1 is the greatest common factor of the two numbers.
In this case, you would start by writing down 3 and 8. Then, you would divide 8 by 3 to get a result of 2. Next, you would divide 3 by 2 to get a result of 1. The last number you wrote down before you got a result of 1 was 2, so the greatest common factor of 3 and 8 is 2.
There are a few other ways to find the greatest common factor of two numbers, but these are two of the most common methods. Sometimes, the greatest common factor of two numbers is obvious. For example, the greatest common factor of 6 and 9 is 3. However, for other number pairs, it may not be so obvious. In these cases, it is helpful to have a method for finding the greatest common factor.
Broaden your view: 3 1 3
Frequently Asked Questions
What is the least common multiple of 2 and 3?
The LCM of 2 and 3 is 1.
What are the multiples of 2 and 3?
The multiples of 2 and 3 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.
What is a multiple of two numbers?
A multiple of two numbers is a number that can be divided by the given number without leaving a reminder. For example: The least common multiple of two numbers is the “smallest non-zero common number” which is a multiple of both the numbers.
What is the smallest common multiple of 3 4 and 5?
60
What is the smallest number divisible by 2 3 4 5 and 10?
The answer is 360.
Sources
- https://math.answers.com/other-math/What_is_the_LCM_of_3_and_8
- https://socratic.org/questions/what-is-the-lcm-of-3-and-8
- https://onlinecalculator.guru/lcmgcf/gcd-of-3-8/
- https://divisible.info/GCD/Two/greatest-common-divisor-of-8-and-3.html
- https://www.hackmath.net/en/calculator/greatest-common-divisor
- https://www.symbolab.com/solver/gcd-calculator
- https://www.studysmarter.us/explanations/math/pure-maths/greatest-common-divisor/
- https://onlinecalculator.guru/lcmgcf/gcd-of-3-5-8/
- https://brainly.ph/question/7685793
- https://math.answers.com/Q/What_is_the_smallest_number_that_is_a_multiple_of_both_3_and_6
- https://math.answers.com/other-math/What_is_the_largest_3_digit_multiple_of_8
- https://www.givetheanswers.com/2022/09/20/solved-which-number-amongst-240-321-418-and-812-is-the-smallest/
- https://math.answers.com/other-math/What_is_the_largest_three-digit_number_that_is_a_multiple_of_8
- https://math.stackexchange.com/questions/2682858/what-is-the-smallest-positive-integer-that-is-divisible-by-2-and-3
- https://www.algebra.com/algebra/homework/divisibility/Divisibility_and_Prime_Numbers.faq.question.246694.html
- https://www.quora.com/What-is-the-smallest-positive-integer-you-can-write-using-only-digits-1-and-2-which-is-divisible-both-by-3-and-8
- https://imathworks.com/math/math-the-smallest-positive-integer-that-is-divisible-by-2-and-3/
- https://codereview.stackexchange.com/questions/276854/the-smallest-positive-number-that-is-evenly-divisible-by-all-of-the-numbers-from
- https://www.algebra.com/algebra/homework/playground/test.faq.question.1143478.html
- https://web2.0calc.com/questions/1-find-the-second-smallest-positive-integer-that-gives-a-remainder-of-2-when-divided-by-3-and-gives-a-remainder-of-3-when-divided-by-7
- https://www.beatthegmat.com/what-is-the-lowest-positive-integer-t294643.html
- https://greprepclub.com/forum/what-is-the-smallest-positive-integer-which-when-divided-by-17740.html
- https://www.mytutor.co.uk/answers/20830/University/STEP/What-is-the-largest-positive-integer-that-always-divides-n-5-n-3-for-n-a-natural-number/
- http://www.positiveintegers.org/IntegerTables/1-100
- https://math.answers.com/algebra/What_are_all_the_positive_integers_divisible_by_2_or_3
Featured Images: pexels.com
